189981792 has 288 divisors, whose sum is σ = 726485760. Its totient is φ = 45480960.

The previous prime is 189981773. The next prime is 189981793. The reversal of 189981792 is 297189981.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189981793) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287959 + ... + 288617.

It is an arithmetic number, because the mean of its divisors is an integer number (2522520).

Almost surely, 2^189981792 is an apocalyptic number.

189981792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189981792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363242880).

189981792 is an abundant number, since it is smaller than the sum of its proper divisors (536503968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

189981792 is a wasteful number, since it uses less digits than its factorization.

189981792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 695 counting only the distinct ones).

The product of its digits is 653184, while the sum is 54.

The square root of 189981792 is about 13783.3882626878. The cubic root of 189981792 is about 574.8713431117.

The spelling of 189981792 in words is "one hundred eighty-nine million, nine hundred eighty-one thousand, seven hundred ninety-two".